A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.

Let a be number of rows

Therefore,


No. of columns = a


Total number of students who sat in field = a2


Total students = a2 + 71


= 6000


a2 = 5929


a =


a = 11 × 7


= 77


Therefore, total number of rows = 77


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